Search a number
-
+
9634918426672 = 2471171160768543
BaseRepresentation
bin1000110000110100110111…
…1000111110100000110000
31021010002102000211202012111
42030031031320332200300
52230324303104123142
632254115335535104
72013046155231430
oct214151570764060
937102360752174
109634918426672
1130851672a7490
1210b738a82a494
1354b751b7c616
142544926c02c0
1511a95dd64e17
hex8c34de3e830

9634918426672 has 160 divisors (see below), whose sum is σ = 23616792428544. Its totient is φ = 3698635987200.

The previous prime is 9634918426657. The next prime is 9634918426691. The reversal of 9634918426672 is 2766248194369.

It is a junction number, because it is equal to n+sod(n) for n = 9634918426598 and 9634918426607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140533233 + ... + 140601775.

Almost surely, 29634918426672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9634918426672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808396214272).

9634918426672 is an abundant number, since it is smaller than the sum of its proper divisors (13981874001872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9634918426672 is a wasteful number, since it uses less digits than its factorization.

9634918426672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70247 (or 70241 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 67.

The spelling of 9634918426672 in words is "nine trillion, six hundred thirty-four billion, nine hundred eighteen million, four hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 142 154 176 284 308 497 568 616 781 994 1136 1232 1562 1607 1988 3124 3214 3976 5467 6248 6428 7952 10934 11249 12496 12856 17677 21868 22498 25712 35354 43736 44996 68543 70708 87472 89992 114097 123739 137086 141416 179984 228194 247478 274172 282832 456388 479801 494956 548344 753973 798679 912776 959602 989912 1096688 1255067 1507946 1597358 1825552 1919204 1979824 2510134 3015892 3194716 3838408 4866553 5020268 5277811 6031784 6389432 7676816 8785469 9733106 10040536 10555622 12063568 12778864 17570938 19466212 20081072 21111244 34065871 35141876 38932424 42222488 53532083 68131742 70283752 77864848 84444976 107064166 110148601 136263484 140567504 214128332 220297202 272526968 374724581 428256664 440594404 545053936 749449162 771040207 856513328 881188808 1211634611 1498898324 1542080414 1762377616 2423269222 2997796648 3084160828 4846538444 5995593296 6168321656 7820550671 8481442277 9693076888 12336643312 15641101342 16962884554 19386153776 31282202684 33925769108 54743854697 62564405368 67851538216 86026057381 109487709394 125128810736 135703076432 172052114762 218975418788 344104229524 437950837576 602182401667 688208459048 875901675152 1204364803334 1376416918096 2408729606668 4817459213336 9634918426672